Atkin-Lehner |
2- 3- 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94428h |
Isogeny class |
Conductor |
94428 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
3983586365723904 = 28 · 313 · 43 · 613 |
Discriminant |
Eigenvalues |
2- 3- 1 4 4 5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110712,13849828] |
[a1,a2,a3,a4,a6] |
j |
804156001460224/21345520221 |
j-invariant |
L |
5.2654057223258 |
L(r)(E,1)/r! |
Ω |
0.43878382233283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31476g1 |
Quadratic twists by: -3 |